What is the arc length of arc ABC in red? You may use 3.14 to estimate an
answer or the letters pi

Answer:

area of the sector = 360π cm²

Step-by-step explanation:

To calculate the area of the sector, we will follow the steps below;

First write down the formula for calculating the area of a sector.

If angle Ф is measured in degree, then

area of sector = Ф/360   × πr²

but if angle Ф is measured in radians, then

area of sector = 1/2 × r² × Ф

In this case the angle is measured in radiance, hence we will use the second formula

From the question given, radius = 15 cm  and angle Ф = 8π/5

area of sector = 1/2 × r² × Ф  

                         =1/2 × 15² ×  8π/5

                         =1/2 ×225 × 8π/5

                          =360π cm²

area of the sector = 360π cm²

Answer:

No

Step-by-step explanation:

Substitute by x = 2 and y = - 1

You will get 2*2 + (-1) = 3 not 5

Then it doesn't lie

Answer:

the answer is 8 cm because if you add up all the numbers of perimeter and then divide it by 4 that's all the sides of the square

Answer:

Step-by-step explanation:

Mr. Anderson drove 168 miles in 3 1/2 hours: d1 = 168 mi  

t1 = 3 1/2 hr

t1 = 3.5 hr

v1 = the first rate

v1 = d1/t1

v1 = 168/3.5

v1 = 48 mph

He then drove 2 1/4 hours at a rate of 5 miles an hour faster than the first rate:

t2 = 2 1/4 hr

t2 = 2.25 hr

v2 = v1 + 5

v2 = 48 + 5

v2 = 53 mph

d2 = the distance

d2 = v2*t2

d2 = 53*2.25

d2 = 119.25 mi

during the total time 3 1/2 + 2 1/4 = 5 3/4 hr Mr. Anderson drove:

d1 + d2 = 168 + 119.25 = 287.25 mi.

Hope that helps :)

the total number of marbles in 2 bags is 18.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

there are 9 marbles per bag.

the total number of marbles in 2 bags

=2*9

=18

hence, the total number of marbles in 2 bags is 18.

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Answer:

$620

Step-by-step explanation:

First you have to figure out the amount one of them would add which is $124. You would do this by adding .25+.50+.75+1 ect. Then once you know how much one of them would add you do 124(5) and get $620.

Answer: C.

There are 215 total students in the band.

There are 27 seniors in the band.

The probability is found by dividing the number of seniors in the band by the TOTAL number of students in the band.

P(S|B) = 27/215 = 0.1255813953

You have to round off the answer too the nearest tenth.

P(S|B) = 0.13

Answer:

x = 58°

Step-by-step explanation:

First, we need to find the green angle on the bottom left of the triangle.

We know that straight lines are supplementary, or equal 180 degrees, so we can say that 114° + a (a variable representing the measure of the angle) = 180°.

Equation:

114 + a = 180

Solve:

114 + a = 180

-114         -114

a = 66

Therefore, the value of the green angle is 66 degrees.

Now, we need to find the value of angle x.

We know that the sum of the angles in a triangle is 180 degrees.

So, 56° + 66° + x = 180°

Equation:

56 + 66 + x = 180

Add:

56 + 66 + x = 180

122 + x = 180

Subtract:

122 + x = 180

-122        -122

x = 58

Therefore, x is 58 degrees.

Answer:

58

Step-by-step explanation:

An exterior  angle is equal to the two remote interior angles. It would be easier to understand that just by adding the numbers in an equation.

Exterior angle = 114

Remote interior angles = x and 56

exterior angle = sum of x and 56 which are the two remote interior angles.

x + 56 = 114          Subtract 56 from both sides.

x+56-56=114-56

x = 58

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex]r = 280\%[/tex]

Step-by-step explanation:

[tex]r\% \times 5 = 14 \\ \frac{r}{100} \times 5 = 14 \\ \frac{5r}{100} = 14 \\ r = \frac{14 \times 100}{5} \\ r = 280\%[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:  24, 24, 47

Step-by-step explanation:

In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations.

a + b > c       &       a + c > b        &        b + c > a

23 + 28 = 51 which is NOT greater than 55

15 + 30 = 45 which is NOT greater than  45

8 + 17 = 25 which is NOT greater than 25

24 + 24 > 47      &        24 + 47 > 24       &       24 + 24 > 27

all combinations are true so these side lengths can form a triangle

Answer:

a

Step-by-step explanation:

ur basically just saying that uts increasing by the same amount when one variable in the equation changes

Answer:

26

Step-by-step explanation:

because number 26 is in the both sets

Answer:

it is 9 inches tall

Step-by-step explanation:

p=2L + 2W

28=2L + 2 x 5

28=2L +10

28-10=2L

18=2L

L=9

Answer:

9 inches.

Step-by-step explanation:

Since the width of the rectangle is 5 inches, We have to times it by 2 which is 10.

Then deduct it from the perimeter of 28, which equals to 18. We have to divide it by 2 so we can find out how tall each side is. 18 divided by 2=9.

Hope that helps.

A square has side lengths of 10.6 yards. So, the area of a square would be equal to 112.36 yd sq.

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

We have given information as

A square has side lengths of 10.6 yards.

And since it is a square, all sides are equal.

The area of a square = side x side

                                  [tex]10.6 \times 10.6\\\\112.36\: yd^2[/tex]

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Answer:

(- 2, 4 )

Step-by-step explanation:

The solution to a system of equations given graphically is the point of intersection of the 2 lines.

The point of intersection is (- 2, 4 )

Thus the solution is (- 2, 4 )

Answer:

(-2,4)

Step-by-step explanation:

edg. 2020

Answer:. If the Area is 177, it should have been given in square centimeters.

If one side is 13 cm, the other side is about 13.6cm.

If one side is 11 cm, the other side should be about 16.1 cm. Even the choice is incorrect!

A/x = w

Step-by-step explanation: to find a side when the Area is given, divide the Area by the length or width given.

Answer:

it is 15

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

(3x + 24) = (8x-11)

24=5x-11

35=5x

x=7

Answer:

7

Step-by-step explanation:

Answer:

B. 41 feet per year

Step-by-step explanation:

943/23= 41

Total feet / coefficient= feet per year

Answer:

There are 9 ways to get a spare

1 and 9

2 and 8

3 and 7

4 and 6

5 and 5

6 and 4

7 and 3

8 and 2  

9 and 1

Step-by-step explanation:

Answer:

(15,18)

Step-by-step explanation:

write two equations with the information provided.

2x + 3y = 84

x + 4y = 87

use the property of substitution to answer.

x + 4y = 87,   x = 87 - 4y

2(87 - 4y) + 3y = 84

174 - 8y + 3y = 84

174 - 84 = 8y - 3y

90 = 5y

90/5 = y

y = 18

Add the value of Y to an original equation. Solve for X

2x + 3(18) = 84

2x + 54 = 84

2x = 84 - 54

2x = 30

x = 30/2

x = 15

Answer:

B

Step-by-step explanation:

Answer:

(4,2) is the answer

The required number of defective batteries is 29 out of 400 batteries tested. Option C. is correct.

The probability that a battery is defective is 1/14. The probability that a battery is defective is 1/14. If 400 batteries are tested, how many are expected to be defective s to be determined?

Probability can be defined as the ratio of favorable outcomes to the total number of events. it can be denoted as,
Probability = number of favorable outcomes / total sample space

The probability that a battery is defective given by,
P(D) = 1/14 = 0.072 or 7.2%
400 batteries are tested while multiplying the defective percentage to the number of batteries it gives the defective number of batteries

Number of defective batteries,
= 400 * 7.2%
= 400 * 7.2/100
=≈ 29

Thus, the required number of defective batteries is 29 out of 400 batteries tested. Option C. is correct.



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Answer:

Y>14/5

Step-by-step explanation:

Hope I helped:)

Answer:

y>14/5

Step-by-step explanation:

4y+3y>2y+14

Step 1: Simplify both sides of the inequality.

7y>2y+14

Step 2: Subtract 2y from both sides.

7y−2y>2y+14−2y

5y>14

Step 3: Divide both sides by 5.

5y/5>14/5

y>14/5

Step-by-step explanation:

the diagonal of the table is 12.65. hope it helps